Math Problem Statement
Solution
The table you've uploaded appears to show a ratio relationship between two sets of values. We need to find the missing values based on the pattern. Here's the given data:
- 12 corresponds to 1
- 24 corresponds to 2
- 36 corresponds to 3
- 60 corresponds to an unknown value
- 96 corresponds to an unknown value
To solve this, we need to identify the relationship between the numbers in the first column and the second column.
From the table:
- 12 → 1
- 24 → 2
- 36 → 3
It seems that the numbers in the second column are increasing by 1 as the numbers in the first column increase. We can check the ratio:
- 12 ÷ 12 = 1
- 24 ÷ 12 = 2
- 36 ÷ 12 = 3
So, the pattern seems to be that each number in the second column is the first column number divided by 12.
Now, applying this logic:
- For 60:
- For 96:
So, the completed table is:
- 12 → 1
- 24 → 2
- 36 → 3
- 60 → 5
- 96 → 8
Would you like to dive deeper into the concept of ratios, or is there anything else you would like clarification on?
Here are some related questions:
- How do ratios apply in real-life situations?
- What is the difference between direct and inverse proportions?
- How can you simplify ratios?
- How do you solve for missing values in proportion problems?
- What are equivalent ratios and how do you find them?
Tip: Always double-check your units when working with ratios to make sure they are consistent across the table.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Basic Arithmetic
Formulas
a / b = x / y (proportions)
Theorems
Cross multiplication to solve for unknown values in proportions
Suitable Grade Level
Grades 6-8